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<h1>lin.h</h1><a href="lin_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*============================================================================</span>
<a name="l00002"></a>00002 <span class="comment"></span>
<a name="l00003"></a>00003 <span class="comment">  WCSLIB 4.8 - an implementation of the FITS WCS standard.</span>
<a name="l00004"></a>00004 <span class="comment">  Copyright (C) 1995-2011, Mark Calabretta</span>
<a name="l00005"></a>00005 <span class="comment"></span>
<a name="l00006"></a>00006 <span class="comment">  This file is part of WCSLIB.</span>
<a name="l00007"></a>00007 <span class="comment"></span>
<a name="l00008"></a>00008 <span class="comment">  WCSLIB is free software: you can redistribute it and/or modify it under the</span>
<a name="l00009"></a>00009 <span class="comment">  terms of the GNU Lesser General Public License as published by the Free</span>
<a name="l00010"></a>00010 <span class="comment">  Software Foundation, either version 3 of the License, or (at your option)</span>
<a name="l00011"></a>00011 <span class="comment">  any later version.</span>
<a name="l00012"></a>00012 <span class="comment"></span>
<a name="l00013"></a>00013 <span class="comment">  WCSLIB is distributed in the hope that it will be useful, but WITHOUT ANY</span>
<a name="l00014"></a>00014 <span class="comment">  WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS</span>
<a name="l00015"></a>00015 <span class="comment">  FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public License for</span>
<a name="l00016"></a>00016 <span class="comment">  more details.</span>
<a name="l00017"></a>00017 <span class="comment"></span>
<a name="l00018"></a>00018 <span class="comment">  You should have received a copy of the GNU Lesser General Public License</span>
<a name="l00019"></a>00019 <span class="comment">  along with WCSLIB.  If not, see &lt;http://www.gnu.org/licenses/&gt;.</span>
<a name="l00020"></a>00020 <span class="comment"></span>
<a name="l00021"></a>00021 <span class="comment">  Correspondence concerning WCSLIB may be directed to:</span>
<a name="l00022"></a>00022 <span class="comment">    Internet email: mcalabre@atnf.csiro.au</span>
<a name="l00023"></a>00023 <span class="comment">    Postal address: Dr. Mark Calabretta</span>
<a name="l00024"></a>00024 <span class="comment">                    Australia Telescope National Facility, CSIRO</span>
<a name="l00025"></a>00025 <span class="comment">                    PO Box 76</span>
<a name="l00026"></a>00026 <span class="comment">                    Epping NSW 1710</span>
<a name="l00027"></a>00027 <span class="comment">                    AUSTRALIA</span>
<a name="l00028"></a>00028 <span class="comment"></span>
<a name="l00029"></a>00029 <span class="comment">  Author: Mark Calabretta, Australia Telescope National Facility</span>
<a name="l00030"></a>00030 <span class="comment">  http://www.atnf.csiro.au/~mcalabre/index.html</span>
<a name="l00031"></a>00031 <span class="comment">  $Id: lin.h,v 4.8.1.1 2011/08/15 08:07:06 cal103 Exp cal103 $</span>
<a name="l00032"></a>00032 <span class="comment">*=============================================================================</span>
<a name="l00033"></a>00033 <span class="comment">*</span>
<a name="l00034"></a>00034 <span class="comment">* WCSLIB 4.8 - C routines that implement the FITS World Coordinate System</span>
<a name="l00035"></a>00035 <span class="comment">* (WCS) standard.  Refer to</span>
<a name="l00036"></a>00036 <span class="comment">*</span>
<a name="l00037"></a>00037 <span class="comment">*   "Representations of world coordinates in FITS",</span>
<a name="l00038"></a>00038 <span class="comment">*   Greisen, E.W., &amp; Calabretta, M.R. 2002, A&amp;A, 395, 1061 (Paper I)</span>
<a name="l00039"></a>00039 <span class="comment">*</span>
<a name="l00040"></a>00040 <span class="comment">* Refer to the README file provided with WCSLIB for an overview of the</span>
<a name="l00041"></a>00041 <span class="comment">* library.</span>
<a name="l00042"></a>00042 <span class="comment">*</span>
<a name="l00043"></a>00043 <span class="comment">*</span>
<a name="l00044"></a>00044 <span class="comment">* Summary of the lin routines</span>
<a name="l00045"></a>00045 <span class="comment">* ---------------------------</span>
<a name="l00046"></a>00046 <span class="comment">* These routines apply the linear transformation defined by the FITS WCS</span>
<a name="l00047"></a>00047 <span class="comment">* standard.  They are based on the linprm struct which contains all</span>
<a name="l00048"></a>00048 <span class="comment">* information needed for the computations.  The struct contains some members</span>
<a name="l00049"></a>00049 <span class="comment">* that must be set by the user, and others that are maintained by these</span>
<a name="l00050"></a>00050 <span class="comment">* routines, somewhat like a C++ class but with no encapsulation.</span>
<a name="l00051"></a>00051 <span class="comment">*</span>
<a name="l00052"></a>00052 <span class="comment">* Three routines, linini(), lincpy(), and linfree() are provided to manage the</span>
<a name="l00053"></a>00053 <span class="comment">* linprm struct, and another, linprt(), prints its contents.</span>
<a name="l00054"></a>00054 <span class="comment">*</span>
<a name="l00055"></a>00055 <span class="comment">* A setup routine, linset(), computes intermediate values in the linprm struct</span>
<a name="l00056"></a>00056 <span class="comment">* from parameters in it that were supplied by the user.  The struct always</span>
<a name="l00057"></a>00057 <span class="comment">* needs to be set up by linset() but need not be called explicitly - refer to</span>
<a name="l00058"></a>00058 <span class="comment">* the explanation of linprm::flag.</span>
<a name="l00059"></a>00059 <span class="comment">*</span>
<a name="l00060"></a>00060 <span class="comment">* linp2x() and linx2p() implement the WCS linear transformations.</span>
<a name="l00061"></a>00061 <span class="comment">*</span>
<a name="l00062"></a>00062 <span class="comment">* An auxiliary matrix inversion routine, matinv(), is included.  It uses</span>
<a name="l00063"></a>00063 <span class="comment">* LU-triangular factorization with scaled partial pivoting.</span>
<a name="l00064"></a>00064 <span class="comment">*</span>
<a name="l00065"></a>00065 <span class="comment">*</span>
<a name="l00066"></a>00066 <span class="comment">* linini() - Default constructor for the linprm struct</span>
<a name="l00067"></a>00067 <span class="comment">* ----------------------------------------------------</span>
<a name="l00068"></a>00068 <span class="comment">* linini() allocates memory for arrays in a linprm struct and sets all members</span>
<a name="l00069"></a>00069 <span class="comment">* of the struct to default values.</span>
<a name="l00070"></a>00070 <span class="comment">*</span>
<a name="l00071"></a>00071 <span class="comment">* PLEASE NOTE: every linprm struct should be initialized by linini(), possibly</span>
<a name="l00072"></a>00072 <span class="comment">* repeatedly.  On the first invokation, and only the first invokation,</span>
<a name="l00073"></a>00073 <span class="comment">* linprm::flag must be set to -1 to initialize memory management, regardless</span>
<a name="l00074"></a>00074 <span class="comment">* of whether linini() will actually be used to allocate memory.</span>
<a name="l00075"></a>00075 <span class="comment">*</span>
<a name="l00076"></a>00076 <span class="comment">* Given:</span>
<a name="l00077"></a>00077 <span class="comment">*   alloc     int       If true, allocate memory unconditionally for arrays in</span>
<a name="l00078"></a>00078 <span class="comment">*                       the linprm struct.</span>
<a name="l00079"></a>00079 <span class="comment">*</span>
<a name="l00080"></a>00080 <span class="comment">*                       If false, it is assumed that pointers to these arrays</span>
<a name="l00081"></a>00081 <span class="comment">*                       have been set by the user except if they are null</span>
<a name="l00082"></a>00082 <span class="comment">*                       pointers in which case memory will be allocated for</span>
<a name="l00083"></a>00083 <span class="comment">*                       them regardless.  (In other words, setting alloc true</span>
<a name="l00084"></a>00084 <span class="comment">*                       saves having to initalize these pointers to zero.)</span>
<a name="l00085"></a>00085 <span class="comment">*</span>
<a name="l00086"></a>00086 <span class="comment">*   naxis     int       The number of world coordinate axes, used to determine</span>
<a name="l00087"></a>00087 <span class="comment">*                       array sizes.</span>
<a name="l00088"></a>00088 <span class="comment">*</span>
<a name="l00089"></a>00089 <span class="comment">* Given and returned:</span>
<a name="l00090"></a>00090 <span class="comment">*   lin       struct linprm*</span>
<a name="l00091"></a>00091 <span class="comment">*                       Linear transformation parameters.  Note that, in order</span>
<a name="l00092"></a>00092 <span class="comment">*                       to initialize memory management linprm::flag should be</span>
<a name="l00093"></a>00093 <span class="comment">*                       set to -1 when lin is initialized for the first time</span>
<a name="l00094"></a>00094 <span class="comment">*                       (memory leaks may result if it had already been</span>
<a name="l00095"></a>00095 <span class="comment">*                       initialized).</span>
<a name="l00096"></a>00096 <span class="comment">*</span>
<a name="l00097"></a>00097 <span class="comment">* Function return value:</span>
<a name="l00098"></a>00098 <span class="comment">*             int       Status return value:</span>
<a name="l00099"></a>00099 <span class="comment">*                         0: Success.</span>
<a name="l00100"></a>00100 <span class="comment">*                         1: Null linprm pointer passed.</span>
<a name="l00101"></a>00101 <span class="comment">*                         2: Memory allocation failed.</span>
<a name="l00102"></a>00102 <span class="comment">*</span>
<a name="l00103"></a>00103 <span class="comment">*                       For returns &gt; 1, a detailed error message is set in</span>
<a name="l00104"></a>00104 <span class="comment">*                       linprm::err if enabled, see wcserr_enable().</span>
<a name="l00105"></a>00105 <span class="comment">*</span>
<a name="l00106"></a>00106 <span class="comment">*</span>
<a name="l00107"></a>00107 <span class="comment">* lincpy() - Copy routine for the linprm struct</span>
<a name="l00108"></a>00108 <span class="comment">* ---------------------------------------------</span>
<a name="l00109"></a>00109 <span class="comment">* lincpy() does a deep copy of one linprm struct to another, using linini() to</span>
<a name="l00110"></a>00110 <span class="comment">* allocate memory for its arrays if required.  Only the "information to be</span>
<a name="l00111"></a>00111 <span class="comment">* provided" part of the struct is copied; a call to linset() is required to</span>
<a name="l00112"></a>00112 <span class="comment">* initialize the remainder.</span>
<a name="l00113"></a>00113 <span class="comment">*</span>
<a name="l00114"></a>00114 <span class="comment">* Given:</span>
<a name="l00115"></a>00115 <span class="comment">*   alloc     int       If true, allocate memory for the crpix, pc, and cdelt</span>
<a name="l00116"></a>00116 <span class="comment">*                       arrays in the destination.  Otherwise, it is assumed</span>
<a name="l00117"></a>00117 <span class="comment">*                       that pointers to these arrays have been set by the</span>
<a name="l00118"></a>00118 <span class="comment">*                       user except if they are null pointers in which case</span>
<a name="l00119"></a>00119 <span class="comment">*                       memory will be allocated for them regardless.</span>
<a name="l00120"></a>00120 <span class="comment">*</span>
<a name="l00121"></a>00121 <span class="comment">*   linsrc    const struct linprm*</span>
<a name="l00122"></a>00122 <span class="comment">*                       Struct to copy from.</span>
<a name="l00123"></a>00123 <span class="comment">*</span>
<a name="l00124"></a>00124 <span class="comment">* Given and returned:</span>
<a name="l00125"></a>00125 <span class="comment">*   lindst    struct linprm*</span>
<a name="l00126"></a>00126 <span class="comment">*                       Struct to copy to.  linprm::flag should be set to -1</span>
<a name="l00127"></a>00127 <span class="comment">*                       if lindst was not previously initialized (memory leaks</span>
<a name="l00128"></a>00128 <span class="comment">*                       may result if it was previously initialized).</span>
<a name="l00129"></a>00129 <span class="comment">*</span>
<a name="l00130"></a>00130 <span class="comment">* Function return value:</span>
<a name="l00131"></a>00131 <span class="comment">*             int       Status return value:</span>
<a name="l00132"></a>00132 <span class="comment">*                         0: Success.</span>
<a name="l00133"></a>00133 <span class="comment">*                         1: Null linprm pointer passed.</span>
<a name="l00134"></a>00134 <span class="comment">*                         2: Memory allocation failed.</span>
<a name="l00135"></a>00135 <span class="comment">*</span>
<a name="l00136"></a>00136 <span class="comment">*                       For returns &gt; 1, a detailed error message is set in</span>
<a name="l00137"></a>00137 <span class="comment">*                       linprm::err if enabled, see wcserr_enable().</span>
<a name="l00138"></a>00138 <span class="comment">*</span>
<a name="l00139"></a>00139 <span class="comment">*</span>
<a name="l00140"></a>00140 <span class="comment">* linfree() - Destructor for the linprm struct</span>
<a name="l00141"></a>00141 <span class="comment">* --------------------------------------------</span>
<a name="l00142"></a>00142 <span class="comment">* linfree() frees memory allocated for the linprm arrays by linini() and/or</span>
<a name="l00143"></a>00143 <span class="comment">* linset().  linini() keeps a record of the memory it allocates and linfree()</span>
<a name="l00144"></a>00144 <span class="comment">* will only attempt to free this.</span>
<a name="l00145"></a>00145 <span class="comment">*</span>
<a name="l00146"></a>00146 <span class="comment">* PLEASE NOTE: linfree() must not be invoked on a linprm struct that was not</span>
<a name="l00147"></a>00147 <span class="comment">* initialized by linini().</span>
<a name="l00148"></a>00148 <span class="comment">*</span>
<a name="l00149"></a>00149 <span class="comment">* Given:</span>
<a name="l00150"></a>00150 <span class="comment">*   lin       struct linprm*</span>
<a name="l00151"></a>00151 <span class="comment">*                       Linear transformation parameters.</span>
<a name="l00152"></a>00152 <span class="comment">*</span>
<a name="l00153"></a>00153 <span class="comment">* Function return value:</span>
<a name="l00154"></a>00154 <span class="comment">*             int       Status return value:</span>
<a name="l00155"></a>00155 <span class="comment">*                         0: Success.</span>
<a name="l00156"></a>00156 <span class="comment">*                         1: Null linprm pointer passed.</span>
<a name="l00157"></a>00157 <span class="comment">*</span>
<a name="l00158"></a>00158 <span class="comment">*</span>
<a name="l00159"></a>00159 <span class="comment">* linprt() - Print routine for the linprm struct</span>
<a name="l00160"></a>00160 <span class="comment">* ----------------------------------------------</span>
<a name="l00161"></a>00161 <span class="comment">* linprt() prints the contents of a linprm struct using wcsprintf().  Mainly</span>
<a name="l00162"></a>00162 <span class="comment">* intended for diagnostic purposes.</span>
<a name="l00163"></a>00163 <span class="comment">*</span>
<a name="l00164"></a>00164 <span class="comment">* Given:</span>
<a name="l00165"></a>00165 <span class="comment">*   lin       const struct linprm*</span>
<a name="l00166"></a>00166 <span class="comment">*                       Linear transformation parameters.</span>
<a name="l00167"></a>00167 <span class="comment">*</span>
<a name="l00168"></a>00168 <span class="comment">* Function return value:</span>
<a name="l00169"></a>00169 <span class="comment">*             int       Status return value:</span>
<a name="l00170"></a>00170 <span class="comment">*                         0: Success.</span>
<a name="l00171"></a>00171 <span class="comment">*                         1: Null linprm pointer passed.</span>
<a name="l00172"></a>00172 <span class="comment">*</span>
<a name="l00173"></a>00173 <span class="comment">*</span>
<a name="l00174"></a>00174 <span class="comment">* linset() - Setup routine for the linprm struct</span>
<a name="l00175"></a>00175 <span class="comment">* ----------------------------------------------</span>
<a name="l00176"></a>00176 <span class="comment">* linset(), if necessary, allocates memory for the linprm::piximg and</span>
<a name="l00177"></a>00177 <span class="comment">* linprm::imgpix arrays and sets up the linprm struct according to information</span>
<a name="l00178"></a>00178 <span class="comment">* supplied within it - refer to the explanation of linprm::flag.</span>
<a name="l00179"></a>00179 <span class="comment">*</span>
<a name="l00180"></a>00180 <span class="comment">* Note that this routine need not be called directly; it will be invoked by</span>
<a name="l00181"></a>00181 <span class="comment">* linp2x() and linx2p() if the linprm::flag is anything other than a</span>
<a name="l00182"></a>00182 <span class="comment">* predefined magic value.</span>
<a name="l00183"></a>00183 <span class="comment">*</span>
<a name="l00184"></a>00184 <span class="comment">* Given and returned:</span>
<a name="l00185"></a>00185 <span class="comment">*   lin       struct linprm*</span>
<a name="l00186"></a>00186 <span class="comment">*                       Linear transformation parameters.</span>
<a name="l00187"></a>00187 <span class="comment">*</span>
<a name="l00188"></a>00188 <span class="comment">* Function return value:</span>
<a name="l00189"></a>00189 <span class="comment">*             int       Status return value:</span>
<a name="l00190"></a>00190 <span class="comment">*                         0: Success.</span>
<a name="l00191"></a>00191 <span class="comment">*                         1: Null linprm pointer passed.</span>
<a name="l00192"></a>00192 <span class="comment">*                         2: Memory allocation failed.</span>
<a name="l00193"></a>00193 <span class="comment">*                         3: PCi_ja matrix is singular.</span>
<a name="l00194"></a>00194 <span class="comment">*</span>
<a name="l00195"></a>00195 <span class="comment">*                       For returns &gt; 1, a detailed error message is set in</span>
<a name="l00196"></a>00196 <span class="comment">*                       linprm::err if enabled, see wcserr_enable().</span>
<a name="l00197"></a>00197 <span class="comment">*</span>
<a name="l00198"></a>00198 <span class="comment">*</span>
<a name="l00199"></a>00199 <span class="comment">* linp2x() - Pixel-to-world linear transformation</span>
<a name="l00200"></a>00200 <span class="comment">* -----------------------------------------------</span>
<a name="l00201"></a>00201 <span class="comment">* linp2x() transforms pixel coordinates to intermediate world coordinates.</span>
<a name="l00202"></a>00202 <span class="comment">*</span>
<a name="l00203"></a>00203 <span class="comment">* Given and returned:</span>
<a name="l00204"></a>00204 <span class="comment">*   lin       struct linprm*</span>
<a name="l00205"></a>00205 <span class="comment">*                       Linear transformation parameters.</span>
<a name="l00206"></a>00206 <span class="comment">*</span>
<a name="l00207"></a>00207 <span class="comment">* Given:</span>
<a name="l00208"></a>00208 <span class="comment">*   ncoord,</span>
<a name="l00209"></a>00209 <span class="comment">*   nelem     int       The number of coordinates, each of vector length nelem</span>
<a name="l00210"></a>00210 <span class="comment">*                       but containing lin.naxis coordinate elements.</span>
<a name="l00211"></a>00211 <span class="comment">*</span>
<a name="l00212"></a>00212 <span class="comment">*   pixcrd    const double[ncoord][nelem]</span>
<a name="l00213"></a>00213 <span class="comment">*                       Array of pixel coordinates.</span>
<a name="l00214"></a>00214 <span class="comment">*</span>
<a name="l00215"></a>00215 <span class="comment">* Returned:</span>
<a name="l00216"></a>00216 <span class="comment">*   imgcrd    double[ncoord][nelem]</span>
<a name="l00217"></a>00217 <span class="comment">*                       Array of intermediate world coordinates.</span>
<a name="l00218"></a>00218 <span class="comment">*</span>
<a name="l00219"></a>00219 <span class="comment">* Function return value:</span>
<a name="l00220"></a>00220 <span class="comment">*             int       Status return value:</span>
<a name="l00221"></a>00221 <span class="comment">*                         0: Success.</span>
<a name="l00222"></a>00222 <span class="comment">*                         1: Null linprm pointer passed.</span>
<a name="l00223"></a>00223 <span class="comment">*                         2: Memory allocation failed.</span>
<a name="l00224"></a>00224 <span class="comment">*                         3: PCi_ja matrix is singular.</span>
<a name="l00225"></a>00225 <span class="comment">*</span>
<a name="l00226"></a>00226 <span class="comment">*                       For returns &gt; 1, a detailed error message is set in</span>
<a name="l00227"></a>00227 <span class="comment">*                       linprm::err if enabled, see wcserr_enable().</span>
<a name="l00228"></a>00228 <span class="comment">*</span>
<a name="l00229"></a>00229 <span class="comment">*</span>
<a name="l00230"></a>00230 <span class="comment">* linx2p() - World-to-pixel linear transformation</span>
<a name="l00231"></a>00231 <span class="comment">* -----------------------------------------------</span>
<a name="l00232"></a>00232 <span class="comment">* linx2p() transforms intermediate world coordinates to pixel coordinates.</span>
<a name="l00233"></a>00233 <span class="comment">*</span>
<a name="l00234"></a>00234 <span class="comment">* Given and returned:</span>
<a name="l00235"></a>00235 <span class="comment">*   lin       struct linprm*</span>
<a name="l00236"></a>00236 <span class="comment">*                       Linear transformation parameters.</span>
<a name="l00237"></a>00237 <span class="comment">*</span>
<a name="l00238"></a>00238 <span class="comment">* Given:</span>
<a name="l00239"></a>00239 <span class="comment">*   ncoord,</span>
<a name="l00240"></a>00240 <span class="comment">*   nelem     int       The number of coordinates, each of vector length nelem</span>
<a name="l00241"></a>00241 <span class="comment">*                       but containing lin.naxis coordinate elements.</span>
<a name="l00242"></a>00242 <span class="comment">*</span>
<a name="l00243"></a>00243 <span class="comment">*   imgcrd   const double[ncoord][nelem]</span>
<a name="l00244"></a>00244 <span class="comment">*                       Array of intermediate world coordinates.</span>
<a name="l00245"></a>00245 <span class="comment">*</span>
<a name="l00246"></a>00246 <span class="comment">* Returned:</span>
<a name="l00247"></a>00247 <span class="comment">*   pixcrd    double[ncoord][nelem]</span>
<a name="l00248"></a>00248 <span class="comment">*                       Array of pixel coordinates.</span>
<a name="l00249"></a>00249 <span class="comment">*</span>
<a name="l00250"></a>00250 <span class="comment">*             int       Status return value:</span>
<a name="l00251"></a>00251 <span class="comment">*                         0: Success.</span>
<a name="l00252"></a>00252 <span class="comment">*                         1: Null linprm pointer passed.</span>
<a name="l00253"></a>00253 <span class="comment">*                         2: Memory allocation failed.</span>
<a name="l00254"></a>00254 <span class="comment">*                         3: PCi_ja matrix is singular.</span>
<a name="l00255"></a>00255 <span class="comment">*</span>
<a name="l00256"></a>00256 <span class="comment">*                       For returns &gt; 1, a detailed error message is set in</span>
<a name="l00257"></a>00257 <span class="comment">*                       linprm::err if enabled, see wcserr_enable().</span>
<a name="l00258"></a>00258 <span class="comment">*</span>
<a name="l00259"></a>00259 <span class="comment">*</span>
<a name="l00260"></a>00260 <span class="comment">* linprm struct - Linear transformation parameters</span>
<a name="l00261"></a>00261 <span class="comment">* ------------------------------------------------</span>
<a name="l00262"></a>00262 <span class="comment">* The linprm struct contains all of the information required to perform a</span>
<a name="l00263"></a>00263 <span class="comment">* linear transformation.  It consists of certain members that must be set by</span>
<a name="l00264"></a>00264 <span class="comment">* the user ("given") and others that are set by the WCSLIB routines</span>
<a name="l00265"></a>00265 <span class="comment">* ("returned").</span>
<a name="l00266"></a>00266 <span class="comment">*</span>
<a name="l00267"></a>00267 <span class="comment">*   int flag</span>
<a name="l00268"></a>00268 <span class="comment">*     (Given and returned) This flag must be set to zero whenever any of the</span>
<a name="l00269"></a>00269 <span class="comment">*     following members of the linprm struct are set or modified:</span>
<a name="l00270"></a>00270 <span class="comment">*</span>
<a name="l00271"></a>00271 <span class="comment">*       - linprm::naxis (q.v., not normally set by the user),</span>
<a name="l00272"></a>00272 <span class="comment">*       - linprm::pc,</span>
<a name="l00273"></a>00273 <span class="comment">*       - linprm::cdelt.</span>
<a name="l00274"></a>00274 <span class="comment">*</span>
<a name="l00275"></a>00275 <span class="comment">*     This signals the initialization routine, linset(), to recompute the</span>
<a name="l00276"></a>00276 <span class="comment">*     returned members of the linprm struct.  linset() will reset flag to</span>
<a name="l00277"></a>00277 <span class="comment">*     indicate that this has been done.</span>
<a name="l00278"></a>00278 <span class="comment">*</span>
<a name="l00279"></a>00279 <span class="comment">*     PLEASE NOTE: flag should be set to -1 when linini() is called for the</span>
<a name="l00280"></a>00280 <span class="comment">*     first time for a particular linprm struct in order to initialize memory</span>
<a name="l00281"></a>00281 <span class="comment">*     management.  It must ONLY be used on the first initialization otherwise</span>
<a name="l00282"></a>00282 <span class="comment">*     memory leaks may result.</span>
<a name="l00283"></a>00283 <span class="comment">*</span>
<a name="l00284"></a>00284 <span class="comment">*   int naxis</span>
<a name="l00285"></a>00285 <span class="comment">*     (Given or returned) Number of pixel and world coordinate elements.</span>
<a name="l00286"></a>00286 <span class="comment">*</span>
<a name="l00287"></a>00287 <span class="comment">*     If linini() is used to initialize the linprm struct (as would normally</span>
<a name="l00288"></a>00288 <span class="comment">*     be the case) then it will set naxis from the value passed to it as a</span>
<a name="l00289"></a>00289 <span class="comment">*     function argument.  The user should not subsequently modify it.</span>
<a name="l00290"></a>00290 <span class="comment">*</span>
<a name="l00291"></a>00291 <span class="comment">*   double *crpix</span>
<a name="l00292"></a>00292 <span class="comment">*     (Given) Pointer to the first element of an array of double containing</span>
<a name="l00293"></a>00293 <span class="comment">*     the coordinate reference pixel, CRPIXja.</span>
<a name="l00294"></a>00294 <span class="comment">*</span>
<a name="l00295"></a>00295 <span class="comment">*   double *pc</span>
<a name="l00296"></a>00296 <span class="comment">*     (Given) Pointer to the first element of the PCi_ja (pixel coordinate)</span>
<a name="l00297"></a>00297 <span class="comment">*     transformation matrix.  The expected order is</span>
<a name="l00298"></a>00298 <span class="comment">*</span>
<a name="l00299"></a>00299 <span class="comment">=       struct linprm lin;</span>
<a name="l00300"></a>00300 <span class="comment">=       lin.pc = {PC1_1, PC1_2, PC2_1, PC2_2};</span>
<a name="l00301"></a>00301 <span class="comment">*</span>
<a name="l00302"></a>00302 <span class="comment">*     This may be constructed conveniently from a 2-D array via</span>
<a name="l00303"></a>00303 <span class="comment">*</span>
<a name="l00304"></a>00304 <span class="comment">=       double m[2][2] = {{PC1_1, PC1_2},</span>
<a name="l00305"></a>00305 <span class="comment">=                         {PC2_1, PC2_2}};</span>
<a name="l00306"></a>00306 <span class="comment">*</span>
<a name="l00307"></a>00307 <span class="comment">*     which is equivalent to</span>
<a name="l00308"></a>00308 <span class="comment">*</span>
<a name="l00309"></a>00309 <span class="comment">=       double m[2][2];</span>
<a name="l00310"></a>00310 <span class="comment">=       m[0][0] = PC1_1;</span>
<a name="l00311"></a>00311 <span class="comment">=       m[0][1] = PC1_2;</span>
<a name="l00312"></a>00312 <span class="comment">=       m[1][0] = PC2_1;</span>
<a name="l00313"></a>00313 <span class="comment">=       m[1][1] = PC2_2;</span>
<a name="l00314"></a>00314 <span class="comment">*</span>
<a name="l00315"></a>00315 <span class="comment">*     The storage order for this 2-D array is the same as for the 1-D array,</span>
<a name="l00316"></a>00316 <span class="comment">*     whence</span>
<a name="l00317"></a>00317 <span class="comment">*</span>
<a name="l00318"></a>00318 <span class="comment">=       lin.pc = *m;</span>
<a name="l00319"></a>00319 <span class="comment">*</span>
<a name="l00320"></a>00320 <span class="comment">*     would be legitimate.</span>
<a name="l00321"></a>00321 <span class="comment">*</span>
<a name="l00322"></a>00322 <span class="comment">*   double *cdelt</span>
<a name="l00323"></a>00323 <span class="comment">*     (Given) Pointer to the first element of an array of double containing</span>
<a name="l00324"></a>00324 <span class="comment">*     the coordinate increments, CDELTia.</span>
<a name="l00325"></a>00325 <span class="comment">*</span>
<a name="l00326"></a>00326 <span class="comment">*   int unity</span>
<a name="l00327"></a>00327 <span class="comment">*     (Returned) True if the linear transformation matrix is unity.</span>
<a name="l00328"></a>00328 <span class="comment">*</span>
<a name="l00329"></a>00329 <span class="comment">*   int padding</span>
<a name="l00330"></a>00330 <span class="comment">*     (An unused variable inserted for alignment purposes only.)</span>
<a name="l00331"></a>00331 <span class="comment">*</span>
<a name="l00332"></a>00332 <span class="comment">*   double *piximg</span>
<a name="l00333"></a>00333 <span class="comment">*     (Returned) Pointer to the first element of the matrix containing the</span>
<a name="l00334"></a>00334 <span class="comment">*     product of the CDELTia diagonal matrix and the PCi_ja matrix.</span>
<a name="l00335"></a>00335 <span class="comment">*</span>
<a name="l00336"></a>00336 <span class="comment">*   double *imgpix</span>
<a name="l00337"></a>00337 <span class="comment">*     (Returned) Pointer to the first element of the inverse of the</span>
<a name="l00338"></a>00338 <span class="comment">*     linprm::piximg matrix.</span>
<a name="l00339"></a>00339 <span class="comment">*</span>
<a name="l00340"></a>00340 <span class="comment">*   struct wcserr *err</span>
<a name="l00341"></a>00341 <span class="comment">*     (Returned) If enabled, when an error status is returned this struct</span>
<a name="l00342"></a>00342 <span class="comment">*     contains detailed information about the error, see wcserr_enable().</span>
<a name="l00343"></a>00343 <span class="comment">*</span>
<a name="l00344"></a>00344 <span class="comment">*   int i_naxis</span>
<a name="l00345"></a>00345 <span class="comment">*     (For internal use only.)</span>
<a name="l00346"></a>00346 <span class="comment">*   int m_flag</span>
<a name="l00347"></a>00347 <span class="comment">*     (For internal use only.)</span>
<a name="l00348"></a>00348 <span class="comment">*   int m_naxis</span>
<a name="l00349"></a>00349 <span class="comment">*     (For internal use only.)</span>
<a name="l00350"></a>00350 <span class="comment">*   int m_padding</span>
<a name="l00351"></a>00351 <span class="comment">*     (For internal use only.)</span>
<a name="l00352"></a>00352 <span class="comment">*   double *m_crpix</span>
<a name="l00353"></a>00353 <span class="comment">*     (For internal use only.)</span>
<a name="l00354"></a>00354 <span class="comment">*   double *m_pc</span>
<a name="l00355"></a>00355 <span class="comment">*     (For internal use only.)</span>
<a name="l00356"></a>00356 <span class="comment">*   double *m_cdelt</span>
<a name="l00357"></a>00357 <span class="comment">*     (For internal use only.)</span>
<a name="l00358"></a>00358 <span class="comment">*   void *padding2</span>
<a name="l00359"></a>00359 <span class="comment">*     (For internal use only.)</span>
<a name="l00360"></a>00360 <span class="comment">*</span>
<a name="l00361"></a>00361 <span class="comment">*</span>
<a name="l00362"></a>00362 <span class="comment">* Global variable: const char *lin_errmsg[] - Status return messages</span>
<a name="l00363"></a>00363 <span class="comment">* ------------------------------------------------------------------</span>
<a name="l00364"></a>00364 <span class="comment">* Error messages to match the status value returned from each function.</span>
<a name="l00365"></a>00365 <span class="comment">*</span>
<a name="l00366"></a>00366 <span class="comment">*===========================================================================*/</span>
<a name="l00367"></a>00367 
<a name="l00368"></a>00368 <span class="preprocessor">#ifndef WCSLIB_LIN</span>
<a name="l00369"></a>00369 <span class="preprocessor"></span><span class="preprocessor">#define WCSLIB_LIN</span>
<a name="l00370"></a>00370 <span class="preprocessor"></span>
<a name="l00371"></a>00371 <span class="preprocessor">#include "<a class="code" href="wcserr_8h.html">wcserr.h</a>"</span>
<a name="l00372"></a>00372 
<a name="l00373"></a>00373 <span class="preprocessor">#ifdef __cplusplus</span>
<a name="l00374"></a>00374 <span class="preprocessor"></span><span class="keyword">extern</span> <span class="stringliteral">"C"</span> {
<a name="l00375"></a>00375 <span class="preprocessor">#endif</span>
<a name="l00376"></a>00376 <span class="preprocessor"></span>
<a name="l00377"></a>00377 
<a name="l00378"></a>00378 <span class="keyword">extern</span> <span class="keyword">const</span> <span class="keywordtype">char</span> *<a class="code" href="lin_8h.html#7bdf034bd750df1e518db9feeebf7a79" title="Status return messages.">lin_errmsg</a>[];
<a name="l00379"></a>00379 
<a name="l00380"></a><a class="code" href="lin_8h.html#6690044d47c6784a4cc0ccf6f52bfc1f">00380</a> <span class="keyword">enum</span> <a class="code" href="lin_8h.html#6690044d47c6784a4cc0ccf6f52bfc1f">lin_errmsg_enum</a> {
<a name="l00381"></a><a class="code" href="lin_8h.html#6690044d47c6784a4cc0ccf6f52bfc1f2544660be2086b8225623e8a7b534dfb">00381</a>   <a class="code" href="lin_8h.html#6690044d47c6784a4cc0ccf6f52bfc1f2544660be2086b8225623e8a7b534dfb">LINERR_SUCCESS</a>      = 0,      <span class="comment">/* Success. */</span>
<a name="l00382"></a><a class="code" href="lin_8h.html#6690044d47c6784a4cc0ccf6f52bfc1f84e4dcf5e518ba3dce985ef7c9687513">00382</a>   <a class="code" href="lin_8h.html#6690044d47c6784a4cc0ccf6f52bfc1f84e4dcf5e518ba3dce985ef7c9687513">LINERR_NULL_POINTER</a> = 1,      <span class="comment">/* Null linprm pointer passed. */</span>
<a name="l00383"></a><a class="code" href="lin_8h.html#6690044d47c6784a4cc0ccf6f52bfc1f28004da63d882a7df754d49047ea7f2d">00383</a>   <a class="code" href="lin_8h.html#6690044d47c6784a4cc0ccf6f52bfc1f28004da63d882a7df754d49047ea7f2d">LINERR_MEMORY</a>       = 2,      <span class="comment">/* Memory allocation failed. */</span>
<a name="l00384"></a><a class="code" href="lin_8h.html#6690044d47c6784a4cc0ccf6f52bfc1fd2248fa36c9d85c91187179ae95207e8">00384</a>   <a class="code" href="lin_8h.html#6690044d47c6784a4cc0ccf6f52bfc1fd2248fa36c9d85c91187179ae95207e8">LINERR_SINGULAR_MTX</a> = 3       <span class="comment">/* PCi_ja matrix is singular. */</span>
<a name="l00385"></a>00385 };
<a name="l00386"></a>00386 
<a name="l00387"></a><a class="code" href="structlinprm.html">00387</a> <span class="keyword">struct </span><a class="code" href="structlinprm.html" title="Linear transformation parameters.">linprm</a> {
<a name="l00388"></a>00388   <span class="comment">/* Initialization flag (see the prologue above).                          */</span>
<a name="l00389"></a>00389   <span class="comment">/*------------------------------------------------------------------------*/</span>
<a name="l00390"></a><a class="code" href="structlinprm.html#5bb0b2b2ce1f160a8a70f6437a893eea">00390</a>   <span class="keywordtype">int</span> <a class="code" href="structlinprm.html#5bb0b2b2ce1f160a8a70f6437a893eea">flag</a>;                     <span class="comment">/* Set to zero to force initialization.     */</span>
<a name="l00391"></a>00391 
<a name="l00392"></a>00392   <span class="comment">/* Parameters to be provided (see the prologue above).                    */</span>
<a name="l00393"></a>00393   <span class="comment">/*------------------------------------------------------------------------*/</span>
<a name="l00394"></a><a class="code" href="structlinprm.html#e281f0f7ebeaf5038cc13c13946641b1">00394</a>   <span class="keywordtype">int</span> <a class="code" href="structlinprm.html#e281f0f7ebeaf5038cc13c13946641b1">naxis</a>;                    <span class="comment">/* The number of axes, given by NAXIS.      */</span>
<a name="l00395"></a><a class="code" href="structlinprm.html#3691ff3f40a0ba087637d30ffc87e6d0">00395</a>   <span class="keywordtype">double</span> *<a class="code" href="structlinprm.html#3691ff3f40a0ba087637d30ffc87e6d0">crpix</a>;                <span class="comment">/* CRPIXja keywords for each pixel axis.    */</span>
<a name="l00396"></a><a class="code" href="structlinprm.html#4c40bec32ec40035b8c1ef13db652270">00396</a>   <span class="keywordtype">double</span> *<a class="code" href="structlinprm.html#4c40bec32ec40035b8c1ef13db652270">pc</a>;                   <span class="comment">/* PCi_ja  linear transformation matrix.    */</span>
<a name="l00397"></a><a class="code" href="structlinprm.html#162762d02eaade6a53d63d70b8827caa">00397</a>   <span class="keywordtype">double</span> *<a class="code" href="structlinprm.html#162762d02eaade6a53d63d70b8827caa">cdelt</a>;                <span class="comment">/* CDELTia keywords for each coord axis.    */</span>
<a name="l00398"></a>00398 
<a name="l00399"></a>00399   <span class="comment">/* Information derived from the parameters supplied.                      */</span>
<a name="l00400"></a>00400   <span class="comment">/*------------------------------------------------------------------------*/</span>
<a name="l00401"></a><a class="code" href="structlinprm.html#eaaf26fd243da58fee173b075bed1de7">00401</a>   <span class="keywordtype">double</span> *<a class="code" href="structlinprm.html#eaaf26fd243da58fee173b075bed1de7">piximg</a>;               <span class="comment">/* Product of CDELTia and PCi_ja matrices.  */</span>
<a name="l00402"></a><a class="code" href="structlinprm.html#28a705f744a32cd05dd3aa86ca58998b">00402</a>   <span class="keywordtype">double</span> *<a class="code" href="structlinprm.html#28a705f744a32cd05dd3aa86ca58998b">imgpix</a>;               <span class="comment">/* Inverse of the piximg matrix.            */</span>
<a name="l00403"></a><a class="code" href="structlinprm.html#f0a5cac7b1d2d3a0feb6905c05b122c2">00403</a>   <span class="keywordtype">int</span>    <a class="code" href="structlinprm.html#f0a5cac7b1d2d3a0feb6905c05b122c2">unity</a>;                 <span class="comment">/* True if the PCi_ja matrix is unity.      */</span>
<a name="l00404"></a>00404 
<a name="l00405"></a>00405   <span class="comment">/* Error handling                                                         */</span>
<a name="l00406"></a>00406   <span class="comment">/*------------------------------------------------------------------------*/</span>
<a name="l00407"></a><a class="code" href="structlinprm.html#7f40c88135117b07a7767082ef24aba9">00407</a>   <span class="keywordtype">int</span>    <a class="code" href="structlinprm.html#7f40c88135117b07a7767082ef24aba9">padding</a>;               <span class="comment">/* (Dummy inserted for alignment purposes.) */</span>
<a name="l00408"></a><a class="code" href="structlinprm.html#2975830d4214bb6b35cb1ca922875057">00408</a>   <span class="keyword">struct </span><a class="code" href="structwcserr.html" title="Error message handling.">wcserr</a> *<a class="code" href="structlinprm.html#2975830d4214bb6b35cb1ca922875057">err</a>;
<a name="l00409"></a>00409 
<a name="l00410"></a>00410   <span class="comment">/* Private - the remainder are for memory management.                     */</span>
<a name="l00411"></a>00411   <span class="comment">/*------------------------------------------------------------------------*/</span>
<a name="l00412"></a><a class="code" href="structlinprm.html#596f68ff17fce142f36530d72dd838c4">00412</a>   <span class="keywordtype">int</span>    <a class="code" href="structlinprm.html#596f68ff17fce142f36530d72dd838c4">i_naxis</a>;
<a name="l00413"></a><a class="code" href="structlinprm.html#b73e780d0792b3570fcf2cf55651f22c">00413</a>   <span class="keywordtype">int</span>    <a class="code" href="structlinprm.html#5ef7cce6307f640aca1080d0d5ad9ba1">m_flag</a>, <a class="code" href="structlinprm.html#eefcacedf2989970f0df2c246d84bfb7">m_naxis</a>, <a class="code" href="structlinprm.html#b73e780d0792b3570fcf2cf55651f22c">m_padding</a>;
<a name="l00414"></a><a class="code" href="structlinprm.html#7036b8527bc8b220ad8a863442631f48">00414</a>   <span class="keywordtype">double</span> *<a class="code" href="structlinprm.html#091103ceb860eeed1a280effa0df28df">m_crpix</a>, *<a class="code" href="structlinprm.html#7036b8527bc8b220ad8a863442631f48">m_pc</a>, *<a class="code" href="structlinprm.html#5ac85757a7a46247e353a089374eb128">m_cdelt</a>;
<a name="l00415"></a><a class="code" href="structlinprm.html#b7a8cacb1454446f9b5a521703fcca75">00415</a>   <span class="keywordtype">void</span>   *<a class="code" href="structlinprm.html#b7a8cacb1454446f9b5a521703fcca75">padding2</a>;
<a name="l00416"></a>00416 };
<a name="l00417"></a>00417 
<a name="l00418"></a>00418 <span class="comment">/* Size of the linprm struct in int units, used by the Fortran wrappers. */</span>
<a name="l00419"></a><a class="code" href="lin_8h.html#fce62bec193631f6e6b58c5b786cd660">00419</a> <span class="preprocessor">#define LINLEN (sizeof(struct linprm)/sizeof(int))</span>
<a name="l00420"></a>00420 <span class="preprocessor"></span>
<a name="l00421"></a>00421 
<a name="l00422"></a>00422 <span class="keywordtype">int</span> <a class="code" href="lin_8h.html#7ddea28768d99f01c6be1c71a4d8fe58" title="Default constructor for the linprm struct.">linini</a>(<span class="keywordtype">int</span> alloc, <span class="keywordtype">int</span> naxis, <span class="keyword">struct</span> <a class="code" href="structlinprm.html" title="Linear transformation parameters.">linprm</a> *lin);
<a name="l00423"></a>00423 
<a name="l00424"></a>00424 <span class="keywordtype">int</span> <a class="code" href="lin_8h.html#b8fc0ef6b34eb3327b13a00de78232b1" title="Copy routine for the linprm struct.">lincpy</a>(<span class="keywordtype">int</span> alloc, <span class="keyword">const</span> <span class="keyword">struct</span> <a class="code" href="structlinprm.html" title="Linear transformation parameters.">linprm</a> *linsrc, <span class="keyword">struct</span> <a class="code" href="structlinprm.html" title="Linear transformation parameters.">linprm</a> *lindst);
<a name="l00425"></a>00425 
<a name="l00426"></a>00426 <span class="keywordtype">int</span> <a class="code" href="lin_8h.html#ef9ead7c6ea6ab08f3ba3fc6a1c30303" title="Destructor for the linprm struct.">linfree</a>(<span class="keyword">struct</span> <a class="code" href="structlinprm.html" title="Linear transformation parameters.">linprm</a> *lin);
<a name="l00427"></a>00427 
<a name="l00428"></a>00428 <span class="keywordtype">int</span> <a class="code" href="lin_8h.html#946005b038f5c584691630b5d39369e3" title="Print routine for the linprm struct.">linprt</a>(<span class="keyword">const</span> <span class="keyword">struct</span> <a class="code" href="structlinprm.html" title="Linear transformation parameters.">linprm</a> *lin);
<a name="l00429"></a>00429 
<a name="l00430"></a>00430 <span class="keywordtype">int</span> <a class="code" href="lin_8h.html#5c01c0991c8d0c4437581a7c1453b09a" title="Setup routine for the linprm struct.">linset</a>(<span class="keyword">struct</span> <a class="code" href="structlinprm.html" title="Linear transformation parameters.">linprm</a> *lin);
<a name="l00431"></a>00431 
<a name="l00432"></a>00432 <span class="keywordtype">int</span> <a class="code" href="lin_8h.html#e4947608476c198ad27759d1e562d655" title="Pixel-to-world linear transformation.">linp2x</a>(<span class="keyword">struct</span> <a class="code" href="structlinprm.html" title="Linear transformation parameters.">linprm</a> *lin, <span class="keywordtype">int</span> ncoord, <span class="keywordtype">int</span> nelem, <span class="keyword">const</span> <span class="keywordtype">double</span> pixcrd[],
<a name="l00433"></a>00433            <span class="keywordtype">double</span> imgcrd[]);
<a name="l00434"></a>00434 
<a name="l00435"></a>00435 <span class="keywordtype">int</span> <a class="code" href="lin_8h.html#5490027e9699680dfefe370c28691243" title="World-to-pixel linear transformation.">linx2p</a>(<span class="keyword">struct</span> <a class="code" href="structlinprm.html" title="Linear transformation parameters.">linprm</a> *lin, <span class="keywordtype">int</span> ncoord, <span class="keywordtype">int</span> nelem, <span class="keyword">const</span> <span class="keywordtype">double</span> imgcrd[],
<a name="l00436"></a>00436            <span class="keywordtype">double</span> pixcrd[]);
<a name="l00437"></a>00437 
<a name="l00438"></a>00438 <span class="keywordtype">int</span> <a class="code" href="lin_8h.html#cc7d26efba3ca08d36047253a9315dcc" title="Matrix inversion.">matinv</a>(<span class="keywordtype">int</span> n, <span class="keyword">const</span> <span class="keywordtype">double</span> mat[], <span class="keywordtype">double</span> inv[]);
<a name="l00439"></a>00439 
<a name="l00440"></a>00440 
<a name="l00441"></a>00441 <span class="comment">/* Deprecated. */</span>
<a name="l00442"></a><a class="code" href="lin_8h.html#ffec8a2c0650ebd2168d7772b2ecec19">00442</a> <span class="preprocessor">#define linini_errmsg lin_errmsg</span>
<a name="l00443"></a><a class="code" href="lin_8h.html#58c2822debf5b36daa18fe8711d724f2">00443</a> <span class="preprocessor"></span><span class="preprocessor">#define lincpy_errmsg lin_errmsg</span>
<a name="l00444"></a><a class="code" href="lin_8h.html#a6d3f59059c532b0217f570f2b4f50df">00444</a> <span class="preprocessor"></span><span class="preprocessor">#define linfree_errmsg lin_errmsg</span>
<a name="l00445"></a><a class="code" href="lin_8h.html#8970e09d61fde987211f8e64061e1fa1">00445</a> <span class="preprocessor"></span><span class="preprocessor">#define linprt_errmsg lin_errmsg</span>
<a name="l00446"></a><a class="code" href="lin_8h.html#a78f202b20674909aab523018106546e">00446</a> <span class="preprocessor"></span><span class="preprocessor">#define linset_errmsg lin_errmsg</span>
<a name="l00447"></a><a class="code" href="lin_8h.html#cb8c02645d7cc3d42e3db6ebf74de192">00447</a> <span class="preprocessor"></span><span class="preprocessor">#define linp2x_errmsg lin_errmsg</span>
<a name="l00448"></a><a class="code" href="lin_8h.html#7232df93295216e063c438671652c2b4">00448</a> <span class="preprocessor"></span><span class="preprocessor">#define linx2p_errmsg lin_errmsg</span>
<a name="l00449"></a>00449 <span class="preprocessor"></span>
<a name="l00450"></a>00450 <span class="preprocessor">#ifdef __cplusplus</span>
<a name="l00451"></a>00451 <span class="preprocessor"></span>}
<a name="l00452"></a>00452 <span class="preprocessor">#endif</span>
<a name="l00453"></a>00453 <span class="preprocessor"></span>
<a name="l00454"></a>00454 <span class="preprocessor">#endif </span><span class="comment">/* WCSLIB_LIN */</span>
</pre></div></div>
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